### Multiplying fractions

A fraction is a part of a whole. In the last lesson, friend learned just how to include and subtract fractions. But that’s no the only kind of math you have the right to do v fractions. There space times once it will be helpful to main point fractions too.

You are watching: 12 times 3/4

Click v the slideshow to learn how to write a multiplication difficulty with fractions. Let's collection up a multiplication instance with fractions. Suppose you drink 2/4 of a pot the coffee every morning. But her doctor simply told you the you require to reduced down her coffee drink by half. Now you need to figure out just how much 1/2 the 2/4 of a pot the coffee is. This may not look like a multiplication problem. But when friend see the word of with fractions, it means you need to multiply.

To set up the example, we'll just replace the word of through a multiplication sign. Now our example is all set to it is in solved. Unlike continual multiplication, which gives you a larger number... Unlike constant multiplication, which gives you a larger number...multiplying fractions will certainly usually offer you a smaller number.

So as soon as we multiply 1/2 times 2/4... So once we multiply 1/2 times 2/4...our answer will be smaller than 2/4. Here's an additional example. Let's to speak you have actually 3/5 the a cup of cacao filling. You desire to placed an equal amount of pour it until it is full in every of this 4 cupcakes. You could say the you want to placed 1/4 the 3/5 of a cup of filling in every cupcake. Just like we go before, we'll adjust the word of into a multiplication sign. And now our fountain are prepared to be multiplied.

Try This!

Try setup up the multiplication trouble below. Don't worry around solving that yet!

A recipe calls for 2/3 of a cup that milk. You desire to cut the cooking recipes in half. Note: return our example says the correct answer is 2/3 x 1/2, remember, through multiplying bespeak does not matter. 1/2 x 2/3 would also be correct.

### Solving multiplication difficulties with fractions

Now that we know exactly how to collection up multiplication difficulties with fractions, let's practice solving a few. If you feel comfortable multiplying whole numbers, you're prepared to multiply fractions.

Click with slideshow to learn how to multiply two fractions. Let's multiply to find 1/2 the 7/10. Just prefer we did earlier, we'll change the native of v a multiplication sign. Currently we're prepared to multiply. First, we'll main point the numerators: 1 and 7. 1 times 7 equates to 7, therefore we'll create 7 come the ideal of the numerators.

See more: What Are Some Of The Typical Reasons Why Empires And Dynasties Tend To Decline And Fall? When us added fractions, the denominators remained the same. But when us multiply, the denominators obtain multiplied too.